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Popular >

6^x<3^x

Solution

6^{x} < 3^{x}

Solution

x < 0

+1

Interval Notation

(- \infty, 0)

Solution steps

6^{x} < 3^{x}

If

f (x) < g (x)

then

ln (f (x)) < ln (g (x))

ln (6^{x}) < ln (3^{x})

Simplify

ln (6^{x}) : ln (6) x

Simplify

ln (3^{x}) : ln (3) x

ln (6) x < ln (3) x

ln (6) x < ln (3) x : x < 0

x < 0

Popular Examples

simplify (2xy^0z)^3 simplify

(2 x y^{0} z)^{3}

\frac{x}{20} = - \frac{3}{5}

simplify (5x^4)^2 simplify

(5 x^{4})^{2}

expand a^{1/2}(a^{3/2}-2a^{1/2})expand

a^{\frac{1}{2}} (a^{\frac{3}{2}} - 2 a^{\frac{1}{2}})

x/3-(x-1)/2 >= 1

\frac{x}{3} - \frac{x - 1}{2} \geq 1

Frequently Asked Questions (FAQ)

What is 6^x<3^x ?
The solution to 6^x<3^x is x<0